352768 has 40 divisors (see below), whose sum is σ = 773388. Its totient is φ = 159744.

The previous prime is 352757. The next prime is 352771. The reversal of 352768 is 867253.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 2304 = 592^2 + 48^2 .

Its product of digits (10080) is a multiple of the sum of its prime factors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6630 + ... + 6682.

2³⁵²⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386694).

352768 is an abundant number, since it is smaller than the sum of its proper divisors (420620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

352768 is an equidigital number, since it uses as much as digits as its factorization.

352768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 68 counting only the distinct ones).

The product of its digits is 10080, while the sum is 31.

The square root of 352768 is about 593.9427581847. The cubic root of 352768 is about 70.6582799271.

The spelling of 352768 in words is "three hundred fifty-two thousand, seven hundred sixty-eight".